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4965240 = 2335723257
BaseRepresentation
bin10010111100001101111000
3100100021000210
4102330031320
52232341430
6254231120
760126630
oct22741570
910307023
104965240
112891505
1217b54a0
13104b017
149336c0
156812b0
hex4bc378

4965240 has 128 divisors (see below), whose sum is σ = 17832960. Its totient is φ = 1081344.

The previous prime is 4965227. The next prime is 4965269. The reversal of 4965240 is 425694.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4965198 and 4965207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19192 + ... + 19448.

It is an arithmetic number, because the mean of its divisors is an integer number (139320).

Almost surely, 24965240 is an apocalyptic number.

4965240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916480).

4965240 is an abundant number, since it is smaller than the sum of its proper divisors (12867720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4965240 is a wasteful number, since it uses less digits than its factorization.

4965240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4965240 is about 2228.2818493180. The cubic root of 4965240 is about 170.6004144157.

The spelling of 4965240 in words is "four million, nine hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 257 276 280 322 345 420 460 483 514 552 644 690 771 805 840 920 966 1028 1285 1288 1380 1542 1610 1799 1932 2056 2415 2570 2760 3084 3220 3598 3855 3864 4830 5140 5397 5911 6168 6440 7196 7710 8995 9660 10280 10794 11822 14392 15420 17733 17990 19320 21588 23644 26985 29555 30840 35466 35980 41377 43176 47288 53970 59110 70932 71960 82754 88665 107940 118220 124131 141864 165508 177330 206885 215880 236440 248262 331016 354660 413770 496524 620655 709320 827540 993048 1241310 1655080 2482620 4965240